Question

What is the degree of the algebraic expression,
$p^3{q}^2-6p^2{q}^5+p^4{q}^4-8p{q}^6+5p^{3}q$ ?

• A. 5
• B. 7
• C. 8
• D. 4

Answer 1

The correct option is C 8

The highest of the degrees of all the terms of an expression is called the degree of the expression.
In the given expression,
$p^3{q}^2-6p^2{q}^5+p^4{q}^4-8p{q}^6+5p^{3}q,$
the degree of the term $p^3{q}^2$ is 3 + 2 = 5,
the degree of the term $-6p^2{q}^5$ is 2 + 5 = 7,
the degree of the term $p^4{q}^4$ is 4 + 4 = 8,
the degree of the term $-8p{q}^6$ is 1 + 6 = 7,
the degree of the term $5p^{3}q$ is 3 + 1 = 4,
So, the highest degree of the expression is 8.